Results 81 to 90 of about 53,695 (215)
Abstract High‐throughput phenotyping (HTP) techniques have brought new opportunities to understand and evaluate key traits in plant breeding programs. Combining multiple measures through time and random regression models permits a more comprehensive understanding of the genetic and environmental effects on trait expression over time. This study aims to
Felipe Sabadin +16 more
wiley +1 more source
On the interval Legendre polynomials
This paper deals with the extension of the classical Legendre polynomials to the interval theory by considering the family of interval polynomials \(\mathbb L_{n,k}(x) \) satisfying, for each natural number \(k\), the recursive formula \(\mathbb L_{0,k}(x)=[1-\frac 1k,1+\frac 1k]\), \(\mathbb L_{1,k}(x)=[1-\frac 1k,1+\frac 1k]x\), \(\mathbb L_{n+1,k}(x)
Patrı́cio, F. +2 more
openaire +2 more sources
Implementation of a Thermomechanical Model for Journal Bearings Using p‐FEM
ABSTRACT Hydrodynamic journal bearings are essential machine parts that are used for applications with high rotational speeds. Their precise simulation requires the consideration of thermomechanical interactions between solids and fluid. During operation, the shear stresses in the fluid (lubricant film heights: 5–100 μm${\umu }\mathrm{m}$), lead to ...
Fabian Schmidtchen +4 more
wiley +1 more source
On the degree of approximation of the Hermite and Hermite-Fejer interpolation
Here we find the order of convergence of the Hermite and Hermite-Fejér interpolation polynomials constructed on the zeros of (1−x2)Pn(x) where Pn(x) is the Legendre polynomial of degree n with normalization Pn(1)=1.
J. Prasad
doaj +1 more source
Mechanically reconfigurable metasurfaces enable high‐capacity optical storage and holography due to low cost/complexity. A differentiable inverse design framework maps meta‐atom geometries to multichannel optical responses via deep neural networks. Rotatable cascaded metasurfaces optimized through this pipeline achieve pixel‐level holography with 288 ...
Ting Ma +4 more
wiley +1 more source
Modelling guided waves in anisotropic plates using the Legendre polynomial method
A numerical method to compute phase dispersion curve in unidirectional laminate is described. The basic feature of the proposed method is the expansion of fields quantities in single layer on different polynomial bases.
Zheng Mingfang, He Cunfu, Lu Yan, Wu Bin
doaj +1 more source
Spectroscopy and Conformer‐Selective Photoelectron Circular Dichroism of Chiral Molecules
Photoelectron circular dichroism (PECD) is a forward–backward asymmetry in the angular distribution of the electrons emitted by a chiral molecule ionized by a circularly polarized light (CPL). Its sensitivity to conformation is studied by one‐photon or resonance‐enhanced two‐photon ionization, the latter being conformer‐selective.
Laurent Nahon, Anne Zehnacker
wiley +1 more source
The dispersion and attenuation characteristics of SH waves in piezoelectric semiconductor multilayered plates with imperfect interfaces are investigated using the improved Legendre orthogonal polynomial method.
Y.H. Luo, X.M. Zhang, A.R. Gao
doaj +1 more source
Moderate Deviation Principles for Lacunary Trigonometric Sums
ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
wiley +1 more source
This study presents an extensive generalization of Legendre–Laguerre polynomials along with their Appell-type counterparts. Using the quasi-monomiality approach, we establish core analytical features, including recurrence relations, associated ...
Waseem Ahmad Khan +4 more
doaj +1 more source

